GCF of 607/999, 984/742, 623/512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 607/999, 984/742, 623/512 i.e 1/189762048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 607/999, 984/742, 623/512.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 607/999,984/742,623/512?
Given fractions are 607/999,984/742,623/512
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 607/999,984/742,623/512, numerators are 607,984,623
Denominators are 999,742,512
The GCF of 607,984,623 is 1 .
LCM of 999,742,512 is 189762048.
The greatest common factor of 607/999,984/742,623/512 = [GCF of 607,984,623]/[LCM of 999,742,512]= 1/189762048
Therefore, the GCF of 607/999,984/742,623/512 is 1/189762048.
To find the highest common factor of 607,984,623, we have to find the factors of both numbers and list the highest common factor.
The factors of 607 are 1, 607
The factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
The factors of 623 are 1, 7, 89, 623
The HCF of 607,984,623 is 1.
Lets's calculate GCF of 607,984,623
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 607,984,623 By Matching Biggest Common Factor Method
Now, list down the factors of 607
:1,607
Now, list down the factors of 984
:1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Now, list down the factors of 623
:1,7,89,623
Greatest Common Factor
We found the factors 607,984,623 . The biggest common factor number is the GCF number.
So the greatest common factor 607,984,623 is 1.
Lets's calculate LCM of 999,742,512
| 2 | 999, 742, 512 |
| 999, 371, 256 |
∴ So the LCM of the given numbers is 2 x 999 x 371 x 256 = 189762048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189762048
Therefore, the GCF of Fractions 607/999,984/742,623/512 is 1/189762048
Least Common Multiple of 999,742,512 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 999,742,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,742,512) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(999,742,512) x common factors =1 x 2 = 2
LCM(999,742,512) = ( 999 × 742 × 512 ) / 2
LCM(999,742,512) = 379524096 / 2
LCM(999,742,512) = 189762048
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 607/999, 984/742, 623/512
1. What is the HCF of 607,984,623?
The HCF of 607,984,623 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 607/999, 984/742, 623/512?
Answer: GCF of Numerators as per given numbers 607/999, 984/742, 623/512 is
GCF of Numerators i.e. for 607,984,623 is 1
LCM of denominators i.e. for 999,742,512 is 189762048.
Thus, GCF of Fractions is 1/189762048.Finally, GCF of Fractions for 607/999, 984/742, 623/512 is 1/189762048.